Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
---|---|---|---|---|---|---|---|---|---|
57365 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{5}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ | 1.2499 | 1.4499 | 0.8621 | [X:[1.411, 1.389], q:[0.3853, 0.4073], qb:[0.6037, 0.2037], phi:[0.4]] | [X:[[-3], [3]], q:[[4], [-2]], qb:[[-1], [-1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{2}^{2}$ | 1 | t^2.4 + 2*t^2.967 + 2*t^3.033 + t^3.6 + 3*t^4.167 + 4*t^4.233 + t^4.734 + t^4.8 + 3*t^5.367 + 6*t^5.433 + 3*t^5.934 + t^6. + 2*t^6.066 + 3*t^6.567 + 7*t^6.633 + t^7.068 + 7*t^7.134 + 9*t^7.2 + 6*t^7.266 + t^7.701 + 2*t^7.767 + 6*t^7.833 + 10*t^8.334 + 13*t^8.4 + 14*t^8.466 + 4*t^8.901 - 3*t^8.967 - t^4.2/y - t^5.4/y - t^6.6/y - t^7.167/y - t^7.233/y - t^7.8/y - t^8.367/y - t^8.433/y + t^8.934/y - t^4.2*y - t^5.4*y - t^6.6*y - t^7.167*y - t^7.233*y - t^7.8*y - t^8.367*y - t^8.433*y + t^8.934*y | t^2.4 + 2*g1^3*t^2.967 + (2*t^3.033)/g1^3 + t^3.6 + 3*g1^3*t^4.167 + (4*t^4.233)/g1^3 + g1^6*t^4.734 + t^4.8 + 3*g1^3*t^5.367 + (6*t^5.433)/g1^3 + 3*g1^6*t^5.934 + t^6. + (2*t^6.066)/g1^6 + 3*g1^3*t^6.567 + (7*t^6.633)/g1^3 + g1^12*t^7.068 + 7*g1^6*t^7.134 + 9*t^7.2 + (6*t^7.266)/g1^6 + g1^9*t^7.701 + 2*g1^3*t^7.767 + (6*t^7.833)/g1^3 + 10*g1^6*t^8.334 + 13*t^8.4 + (14*t^8.466)/g1^6 + 4*g1^9*t^8.901 - 3*g1^3*t^8.967 - t^4.2/y - t^5.4/y - t^6.6/y - (g1^3*t^7.167)/y - t^7.233/(g1^3*y) - t^7.8/y - (g1^3*t^8.367)/y - t^8.433/(g1^3*y) + (g1^6*t^8.934)/y - t^4.2*y - t^5.4*y - t^6.6*y - g1^3*t^7.167*y - (t^7.233*y)/g1^3 - t^7.8*y - g1^3*t^8.367*y - (t^8.433*y)/g1^3 + g1^6*t^8.934*y |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|
58425 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{5}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 1.2334 | 1.4209 | 0.868 | [X:[1.411, 1.389], M:[1.2], q:[0.3853, 0.4073], qb:[0.6037, 0.2037], phi:[0.4]] | 2*t^2.97 + 2*t^3.03 + 2*t^3.6 + 3*t^4.17 + 4*t^4.23 + t^4.73 + t^5.37 + 4*t^5.43 + 3*t^5.93 - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
58424 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{5}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$ | 1.2495 | 1.4495 | 0.862 | [X:[1.4, 1.4], M:[], q:[0.4, 0.4], qb:[0.6, 0.2], phi:[0.4]] | t^2.4 + 4*t^3. + t^3.6 + 7*t^4.2 + 2*t^4.8 + 9*t^5.4 + 6*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 2499/2000, c: 2899/2000, X1: 7/5, X2: 7/5, q1: 2/5, q2: 2/5, qb1: 3/5, qb2: 1/5, phi1: 2/5} |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
47892 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{5}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ | 1.2512 | 1.4512 | 0.8622 | [X:[1.4, 1.4], q:[0.3833, 0.3833], qb:[0.6167, 0.2167], phi:[0.4]] | t^2.4 + 4*t^3. + t^3.6 + 6*t^4.2 + t^4.35 + 2*t^4.65 + 6*t^5.4 + 3*t^5.55 + 2*t^5.85 + 4*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 20019/16000, c: 23219/16000, X1: 7/5, X2: 7/5, q1: 23/60, q2: 23/60, qb1: 37/60, qb2: 13/60, phi1: 2/5} |